All categories

3 years ago

How are discontinuities and zeros determined in a rational function

Mathematics

1 answer:

melomori [17]3 years ago

7 0

Hello,

Let's f(x)=n(x)/d(x)

Discontinuities are found as zeros of d(x)
Zeros are zeros of n(x)

You might be interested in

A costume designer is preparing costumes for 22 dancers . She pays 373.78 for all of the materials. She also buys gloves for all

Zolol [24]

Answer:

$21.29 per dancer

Step-by-step explanation:

The materials cost $373.78 for all 22 dancers, so the cost per dancer is ...

$373.78 / 22 = $16.99

Adding the $4.30 cost of gloves to that brings the total for each dancer to ...

$16.99 +4.30 = $21.29 . . . . for each dancer

8 0

3 years ago

Pn= 40(1.156n) what is the initial population of slugs

charle [14.2K]

Answer:

The initial populations of slugs is 40

Step-by-step explanation:

we have

$P(n)=40(1.156^{n})$

This is a exponential function of the form

$f(x)=a(b^{x})$

where

a is the initial value (value of f(x) when the value of x is equal to zero)

b is the base

r is the rate

b=(1+r)

In this problem we have

$a=40\\b=1.156\\r=b-1=1.156-1=0.156=15.6\%$

therefore

The initial populations of slugs is 40

<u><em>Verify</em></u>

For n=0

substitute in the function

$P(0)=40(1.156^{0})$

$P(0)=40(1)$

$P(0)=40\ slugs$

3 0

3 years ago

In right triangle LMN,

ikadub [295]

Answer:l = 33

Step-by-step explanation:

7 0

3 years ago

Asap please

KIM [24]

Answer:

d. $681.15

Step-by-step explanation:

Bedroom 1:

Width = 10 ft

Length = 8.5 ft

Area of bedroom 1 = length × width

= 10 ft × 8.5 ft

= 85 ft²

Bedroom 2:

Width = 11.75 ft

Length = 13.25 ft

Area of bedroom 2 = length × width

= 11.75 ft × 13.25 ft

= 155.6875 ft²

Total carpet in the two bedrooms = 85 ft² + 155.6875 ft²

= 240.6875 ft²

If the

carpet he wants to buy is $2.83 per square foot, then how much will it cost for both rooms?

Total cost for both rooms = Total carpet in the two bedrooms × cost per square foot

= 240.6875 ft² × $2.83

= $681.145625

Approximately $681.15

5 0

3 years ago

One of Maria and Josie’s early tasks is printing and laminating signs to hang at local businesses around town. Working alone, Ma

nignag [31]

Answer:

Maria and Josie working together can complete the work in= 1 hour and 20 minutes

Step-by-step explanation:

Given:

Time taken by Maria to print and laminate signs = 4 hours

Time taken by Josie to print and laminate signs = 2 hours

Solution:

Rate of work done by Maria = $\frac{1}{4}$ per hour

Rate of work done by Josie = $\frac{1}{2}$ per hour

Let them work for $x$ hours together.

In $x$ hours work done by Maria = $\frac{x}{4}$

In $x$ hours work done by Josie = $\frac{x}{2}$

Total work done by both = $\frac{x}{4}+\frac{x}{2}=\frac{3x}{4}$

If they complete the work in $x$ hours, then we can write as:

$\frac{3x}{4}=1$

Solving for $x$

Multiplying both sides by $\frac{4}{3}$

$\frac{4}{3}\times\frac{3x}{4}=1\times \frac{4}{3}$

∴ $x=\frac{4}{3}=1\frac{1}{3}$ hours = 1 hour and 20 minutes [As $\frac{1}{3}$ of an hour =20 minutes.

So, Maria and Josie working together can complete the work in= 1 hour and 20 minutes

7 0

3 years ago

Read 2 more answers